The wikipedia article explains the editing distance of Kendall tau, but does not say too much about possible applications. When or why do you use tau distance? I am looking for examples in the real world, and have not come up with examples of mathematics.
Kendall Tau can be used as a metric to compare similarities between search results. For example, you can compare how close the top 10 results generated by Google and Bing are (for the same query).
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>>> x1 = [12, 2, 1, 12, 2] >>> x2 = [1, 4, 7, 1, 0] >>> tau, p_value = sp.stats.kendalltau(x1, x2) >>> tau -0.47140452079103173 >>> p_value 0.24821309157521476
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